Assume that security returns are generated by the single-index model: Ri = αi + βiRM + ei

where Ri is the excess return for security i and RM is the market’s excess return. The risk-free rate is 3%. Suppose also that there are three securities A, B, and C, characterized by the following data:

Security βi E(Ri) σ(ei)
A 1.4 14% 23%
B 1.6 16 14
C 1.8 18 17

Required:
If σM = 22%, calculate the variance of returns of securities A, B, and C.

Suppose that a worker in agland can produce either 10 units of organic grain or 2 units of incense per year, and a worker in zenland can produce either 5 units of organic grain or 15 units of incense per year. there are 20 workers in agland and 10 workers in zenland. currently the two countries do not trade. agland produces and consumes 100 units of grain and 20 units of incense per year. zenland produces and consumes 50 units of grain and no incense per year. if each country made the decision to specialize in producing the good in which it has a comparative advantage, then the combined yearly output of the two countries would increase by a. 30 units of grain and 100 units of incense. b. 30 units of grain and 150 units of incense. c. 50 units of grain and 90 units of incense. d. 50 units of grain and 130 units of ince

Frolic corporation has budgeted sales and production over the next quarter as follows. the company has 4100 units of product on hand at july 1. 10% of the next months sales in units should be on hand at the end of each month. october sales are expected to be 72000 units. budgeted sales for september would be: july august september sales in units 41,500 53,500 ? production in units 45,700 53,800 58,150

Suppose an economy has only two sectors: goods and services. each year, goods sells 80% of its outputs to services and keeps the rest, while services sells 62% of its output to goods and retains the rest. find equilibrium prices for the annual outputs of the goods and services sectors that make each sector's income match its expenditures.